Topological Mode-Locked Laser with Intracavity Couplings

Leefmans, Christian; Parto, Midya; Williams, James; Dutt, Avik; Nori, Franco; Marandi, Alireza

doi:10.1364/cleo_qels.2022.ftu5j.2

Cited by 1 publication

(1 citation statement)

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“…Initial research on synthetic dimensions in cold atoms was focused on mimicking topological phenomena and performing analog quantum simulation 2 of condensed matter Hamiltonians using internal spin states of these atoms [3][4][5][6] . Over the last few years, the breadth of synthetic dimensions has spread to encompass a much wider variety of platforms, including photonic resonators 7,8 , waveguides 9,10 , temporal pulses [11][12][13] , microwaves 14 , superconducting circuits 15 , and Rydberg atoms 16 and molecules 17 . Studies have also been extended to explore higher-order topology 18 , and non-Hermitian phenomena that have no counterparts in Hermitian systems, such as eigenenergy winding 19 and braiding 20 that are closely related to the non-Hermitian skin effect 21,22 .…”

Section: Introductionmentioning

confidence: 99%

Frequency-encoded synthetic dimensions for Hamiltonian simulation and topological photonics

Dutt

2024

Quantum Computing, Communication, and Simulation IV

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The frequency modes of photonic resonators offer tantalizing possibilities for analog simulators of Hamiltonians both in the quantum and classical realm. We show how synthetic frequency dimensions can be formed by coupling such modes through external drives, enabling experimental demonstrations of a wide variety of topologically nontrivial effects that are challenging in other platforms. Harnessing the long-range coupling, coherent phase control and unprecedented reconfigurability afforded by synthetic dimensions, we observe phenomena such as the 2D quantum Hall effect and topological phase transitions in 0D structures consisting of one or two resonators. Our work elucidates how higherdimensional physics can be implemented in simpler, experimentally feasible lower-dimensional structures. We also highlight the potential of scalably constructing new phenomena such as topological energy pumps showing quantized transport that is robust to dissipation by introducing an additional Floquet dimension in coupled resonators.

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